SAT Prep Rewind #3

Answer explanation

The percentages must be expressed as decimals to represent the actual number of ounces in each bag that contain Hawaiian coffee beans. Therefore:

> The bag contains 0.30a + 0.50b ounces of Hawaiian beans

> "No more than" 16 ounces means it can be less than or equal to 16

Answer explanation

Based on the variables:

3 large boxes & 2 small boxes would be 3x & 2y, and their total is 87

5 large boxes & 6 small boxes would be 5x & 6y, and their total is 187

Answer explanation

Jenny ran 3x miles, while Keith ran 5y miles.

Jenny ran for more miles overall, therefore 3x > 5y

Answer explanation

To solve:

> Use the given information to obtain a rate of change:

(108-80)/(13-6) = 28/7 = $4/day

> Use the slope to reach Day 0 by calculating:

80 - 6(4) = 80 - 24 = 56

If you mixed a 10-gallon solution that was 50% sugar with another 10-gallon solution that was 10% sugar, how much sugar would the new solution contain?

• 20%

• 25%

• 30%

• 60%

Answer explanation

To solve: Obtain an average of the amount of sugar in the total mixture by calculating:

(.50*10 + .10*10)/(10+10) = 6/20 = .30 = 30%

If you took 6 liters of a 30% saline solution and mixed in 4 liters of a 10% saline solution, what would the concentration of saline be in the new solution?

• 22%

• 20%

• 40%

• 220%

Answer explanation

To solve: Obtain an average of the amount of sugar in the total mixture by calculating:

(.30*6 + .10*4)/(6+4) = 2.2/10 = .22 = 22%

In this function table, for which value of x does

f(x) + g(x) = x?

• 1

• 2

• 3

• 4

Answer explanation

Taking the values of each function for each value of x:

3 + 0 = 3, not 1

5 + -1 = 4, not 2

7 + -4 = 3

9 + -9 = 0, not 4

In this function table, for which value of x does

f(x) - g(x) = x?

• 1

• 2

• 3

• 4

Answer explanation

Taking the values of each function for each value of x:

7 - (-8) = 15, not 1

4 - (-6) = 10, not 2

1 - (-4) = 5, not 3

-2 - (-6) = 4

In this exit poll sample, what fraction of the people voted Republican?

Answer explanation

The ratio is asking for all Republicans versus all people:

(6+7)/(8+11+6+7) = 13/32

In this exit poll sample, what fraction of the Democratic voters were women??

Answer explanation

The ratio is asking for women Democratics versus all Democratics:

(11)/(8+11) = 11/19